3 papers
math.DS2026
Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees
Abel Sagodi, Il Memming Park
Universal approximation theorems establish the expressive capacity of neural network architectures. For dynamical systems, existing results are limited to finite time horizons or s…
math.DS2025
Dynamical Archetype Analysis: Autonomous Computation
Abel Sagodi, Il Memming Park
The study of neural computation aims to understand the function of a neural system as an information processing machine. Neural systems are undoubtedly complex, necessitating princ…
q-bio.NC2025
Back to the Continuous Attractor
Ãbel Ságodi, Guillermo MartÃn-Sánchez, Piotr SokóŠ+1
Continuous attractors offer a unique class of solutions for storing continuous-valued variables in recurrent system states for indefinitely long time intervals. Unfortunately, cont…